2 ACR ACFT ON CONVERGING COURSES AND SAME ALT ARE NOT IN COMS WITH THE CTLR. FIRST ATTEMPTS TO CONTACT BOTH ACFT THROUGH COMMERCIAL RADIO ARE NOT SUCCESSFUL. RADIO CONTACT WITH ONE ACFT IS FINALLY MADE THROUGH THE ADJACENT ARTCC FACILITY WHERE A DSCNT AND TURN IS ISSUED; HOWEVER; LTSS STILL OCCURRED.

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2 ACFT AT THE SAME ALT CONVERGED AT PXV. BOTH ACFT WERE NORDO. ONE ACFT WAS JUST HANDED OFF FROM ZME; THE OTHER WAS JUST HANDED OFF TO US FROM ZKC. WE TRIED TO COMMERCIAL RADIO THEM AND OTHER PROCS TO GET AHOLD OF THEM. ZKC FINALLY GOT AHOLD OF ONE OF THEM AND TURNED HIM AND DSNDED HIM TO FL310. HOWEVER; SEPARATION WAS ALREADY LOST. ALSO; BOTH ACFT HAD TCASII BUT NEITHER GOT AN RA ALERT. ONE OF THEM LATER PHONED OUR CTR AND SAID HE HAD THE OTHER IN SIGHT THE WHOLE TIME. SUPPLEMENTAL INFO FROM ACN 341054: AS A HDOF CTLR; MY JOB WAS TO COORDINATE WITH SURROUNDING FACILITIES TO TRY TO FIND EITHER OF THESE ACFT AND ARRANGE FOR EVASIVE ACTION IN THE EVENT THAT THEY CALLED SOMEBODY. THESE ACFT WERE; TO COIN A PHRASE; WELDED AT PXV. I WAS FRANKLY UNCERTAIN THEY WOULD MISS EACH OTHER UNTIL THEY WERE 1 MIN FROM PROJECTED IMPACT. A MAJOR CONTRIBUTING FACTOR IN THIS WAS THE TFC SATURATION AT MY SECTOR (PXV H1); ZME (HOP H1) AND ZKC (FAM H1) DUE TO CENTRAL FLOW CTL'S INEPT TFC MGMNT. CONTACT ME IF YOU NEED ANY MORE INFO.